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Finding the Fourth Proportional to 13,013.64, 17,958.84 and 7,348.63

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Solution

The fourth proportional to 13,013.64, 17,958.84 and 7,348.63 is: 10,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.64 : 17,958.84 = 7,348.63 : x
  2. Step 2: Convert to fraction form
    13,013.64/17,958.84 = 7,348.63/x
  3. Step 3: Cross multiply
    13,013.64x = 17,958.84 × 7,348.63
  4. Step 4: Simplify right side
    13,013.64x = 131,972,870.39
  5. Step 5: Solve for x
    x = 131,972,870.39/13,013.64
  6. Step 6: Final answer
    x = 10,141.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.